US10753737B1ActiveUtility

Method and optical system for reconstructing surface of object

72
Assignee: UNIV NAT CENTRALPriority: Aug 27, 2019Filed: Nov 21, 2019Granted: Aug 25, 2020
Est. expiryAug 27, 2039(~13.1 yrs left)· nominal 20-yr term from priority
G01B 11/2513G01B 11/2527G01B 11/2441G01B 11/24G01B 11/2518G01B 11/25
72
PatentIndex Score
1
Cited by
18
References
12
Claims

Abstract

A method for reconstructing a surface of an object includes the steps as follows. A light beam is modulated by a spatial light modulator (SLM) and is projected to form a pattern, wherein the pattern has a transmittance distribution in a cosine distribution such that the pattern is formed to become a fringe pattern with a periodic change. A first impulse and a second impulse present within a first period and a second period of the cosine distribution, wherein a position where the first impulse occurs within the first period and a position where the second impulse occurs within the second period are different. The light beam is guided to an object so as to form a scan pattern on the object. The scan pattern is read. According to the scan pattern, a surface profile of the object is calculated.

Claims

exact text as granted — not AI-modified
What is claimed is: 
     
       1. A method for reconstructing a surface of an object, comprising steps of:
 modulating a light beam by a spatial light modulator (SLM), and the light beam being projected to form a pattern, wherein the pattern has a transmittance distribution in a cosine distribution such that the pattern is formed to become a fringe pattern with a periodic change, the transmittance distribution at least comprises a first impulse and a second impulse, and the first impulse and the second impulse respectively present within a first period and a second period of the cosine distribution, wherein a position where the first impulse occurs within the first period and a position where the second impulse occurs within the second period are different; 
 guiding the light beam to the object, such that a scan pattern is formed on the object; 
 reading the scan pattern; and 
 calculating a surface profile of the object according to the scan pattern. 
 
     
     
       2. The method of  claim 1 , wherein the pattern is formed by a plurality of pixels aligned along a direction of a straight line, and the cosine distribution satisfies: 
       
         
           
             
               
                 t 
                 = 
                 
                   A 
                   + 
                   
                     B 
                     ⁢ 
                     
                       cos 
                       ⁡ 
                       
                         [ 
                         
                           
                             
                               2 
                               ⁢ 
                               π 
                               ⁢ 
                               x 
                             
                             
                               T 
                               0 
                             
                           
                           + 
                           
                             
                               
                                 2 
                                 ⁢ 
                                 π 
                                 ⁢ 
                                 m 
                               
                               M 
                             
                             ⁢ 
                             
                               δ 
                               ⁡ 
                               
                                 ( 
                                 
                                   x 
                                   - 
                                   
                                     n 
                                     ⁢ 
                                     
                                       T 
                                       0 
                                     
                                   
                                   - 
                                   l 
                                 
                                 ) 
                               
                             
                           
                         
                         ] 
                       
                     
                   
                 
               
               , 
             
           
         
         wherein t is the transmittance distribution of the fringe pattern, A and B are real numbers, x is a pixel order on the direction of the straight line, T 0  is a fringe period of the fringe pattern, and x. M, m, n and 1 are positive natural numbers, wherein m<M, 1<T 0 , and the positions where the first impulse and the second impulse occur within are defined by δ(x−nT 0 −l). 
       
     
     
       3. The method of  claim 1 , wherein a peak value of the first impulse and a peak value of the second impulse are different. 
     
     
       4. The method of  claim 1 , wherein the first period and the second period are two continuous periods of the cosine distribution. 
     
     
       5. The method of  claim 1 , wherein the step of calculating the surface profile of the object comprises:
 reconstructing the surface profile of the object by a phase-shifting interferometry, and the phase-shifting interferometry is at least a three-step phase-shifting. 
 
     
     
       6. A method for reconstructing a surface of an object, comprising steps of:
 modulating a light beam by a spatial light modulator (SLM), and the light beam being projected to form a pattern, wherein the pattern has a transmittance distribution defined by a sinusoidal wave equation such that the pattern is formed to become a fringe pattern with a phase distribution, wherein a first period of the phase distribution has an impulse variation in a first degree, and a second period of the phase distribution has an impulse variation in a second degree, wherein a position where the impulse variation in the first degree occurs within the first period is a first relative position, and a position wherein the impulse variation in the second degree occurs within the second period is a second relative position, wherein the first degree and the second degree have difference, or the first relative position and the second relative position have difference; 
 guiding the light beam to the object, such that a scan pattern is formed on the object; 
 reading the scan pattern; and 
 calculating a surface profile of the object according to the scan pattern. 
 
     
     
       7. The method of  claim 6 , wherein the pattern is formed by a plurality of pixels aligned along a direction of a straight line, and the sinusoidal wave equation satisfies: 
       
         
           
             
               
                 t 
                 = 
                 
                   A 
                   + 
                   
                     B 
                     ⁢ 
                     
                       cos 
                       ⁡ 
                       
                         [ 
                         
                           
                             
                               2 
                               ⁢ 
                               π 
                               ⁢ 
                               x 
                             
                             
                               T 
                               0 
                             
                           
                           + 
                           
                             
                               
                                 2 
                                 ⁢ 
                                 π 
                                 ⁢ 
                                 m 
                               
                               M 
                             
                             ⁢ 
                             
                               δ 
                               ⁡ 
                               
                                 ( 
                                 
                                   x 
                                   - 
                                   
                                     n 
                                     ⁢ 
                                     
                                       T 
                                       0 
                                     
                                   
                                   - 
                                   l 
                                 
                                 ) 
                               
                             
                           
                         
                         ] 
                       
                     
                   
                 
               
               , 
             
           
         
         wherein t is the transmittance distribution of the fringe pattern, A and B are real numbers, x is a pixel order on the direction of the straight line, T 0  is a fringe period of the fringe pattern, and x. M, m, n and 1 are positive natural numbers, wherein m<M, 1<T 0 , and the positions where the first relative position and the second relative position occur are defined by δ(x−nT 0 −l). 
       
     
     
       8. The method of  claim 6 , wherein the first degree and the second degree are different, and the first relative position and the second relative position are the same. 
     
     
       9. The method of  claim 6 , wherein the first degree and the second degree are the same, and the first relative position and the second relative position are different. 
     
     
       10. The method of  claim 6 , wherein the first degree and the second degree are different, and the first relative position and the second relative position are different. 
     
     
       11. An optical system for reconstructing a surface of an object, comprising:
 a spatial light modulator (SLM), for modulating a light beam, and the light beam being projected to form a pattern, wherein the pattern has a transmittance distribution defined by a sinusoidal wave equation such that the pattern is formed to become a fringe pattern with a phase distribution, wherein a first period of the phase distribution has an impulse variation in a first degree, and a second period of the phase distribution has an impulse variation in a second degree, wherein a position where the impulse variation in the first degree occurs within the first period is a first relative position, and a position wherein the impulse variation in the second degree occurs within the second period is a second relative position, wherein the first degree and the second degree have difference, or the first relative position and the second relative position have difference; 
 an image receiving device; and 
 a pair of light guiding lenses, respectively optical coupling to the spatial light modulator and the image receiving device. 
 
     
     
       12. The optical system of  claim 11 , wherein the pattern is formed by a plurality of pixels aligned along a direction of a straight line, and the sinusoidal wave equation satisfies: 
       
         
           
             
               
                 t 
                 = 
                 
                   A 
                   + 
                   
                     B 
                     ⁢ 
                     
                       cos 
                       ⁡ 
                       
                         [ 
                         
                           
                             
                               2 
                               ⁢ 
                               π 
                               ⁢ 
                               x 
                             
                             
                               T 
                               0 
                             
                           
                           + 
                           
                             
                               
                                 2 
                                 ⁢ 
                                 π 
                                 ⁢ 
                                 m 
                               
                               M 
                             
                             ⁢ 
                             
                               δ 
                               ⁡ 
                               
                                 ( 
                                 
                                   x 
                                   - 
                                   
                                     n 
                                     ⁢ 
                                     
                                       T 
                                       0 
                                     
                                   
                                   - 
                                   l 
                                 
                                 ) 
                               
                             
                           
                         
                         ] 
                       
                     
                   
                 
               
               , 
             
           
         
         wherein t is the transmittance distribution of the fringe pattern, A and B are real numbers, x is a pixel order on the direction of the straight line, To is a fringe period of the fringe pattern, and x. M, m, n and 1 are positive natural numbers, wherein m<M, 1<T 0 , and the positions where the first relative position and the second relative position occur are defined by δ(x−nT 0 −l).

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